Painting. Quentin can paint the turret on a Queen Anne house in 40 hr. It takes Austin 50 hr to paint the same turret. How long would it take them, working together, to paint the turret?

The answer to your question is 22.2 hours

Step-by-step explanation:

Data

Quentin      40 hr to paint a turret

Austin         50 hr to paint a turret

Use proportions to solve this problem

Quentin        1 turret 40 hr    Austin   1 turret 50 hr

                    x               1 hr                   x         1 hr

                    x = 0.025 turret                                  x = 0.02 turret

Then

- In 1 hour they paint              0.025 + 0.02 = 0.045 of the turret

- In 10 hours they paint     (10 x 0.025 + 10 x 0.02) = 0.25 + .2 = 0.45

- In 20 hours they paint    (20 x 0.025 + 20 x 0.02) = 0.5 + 0.4 = 0.9

- In 22 hours they paint    (22 x 0.025 + 22 x 0.02) = 0.55 + 0.44 = 0.99

- In 22.2 hours they paint (22.2 x 0.025 + 22.2 x 0.02) = 0.555 + .0.444 =

                                                                                                                     0.999

They paint the turret together in 22.2 hours